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Finding the Fourth Proportional to 772.49, 1,066.06 and 440.97

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Solution

The fourth proportional to 772.49, 1,066.06 and 440.97 is: 608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.49 : 1,066.06 = 440.97 : x
  2. Step 2: Convert to fraction form
    772.49/1,066.06 = 440.97/x
  3. Step 3: Cross multiply
    772.49x = 1,066.06 × 440.97
  4. Step 4: Simplify right side
    772.49x = 470,100.48
  5. Step 5: Solve for x
    x = 470,100.48/772.49
  6. Step 6: Final answer
    x = 608.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.